Partial differential equations and fluid mechanics

Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The2007 workshop at the University of Warwick was organised to consolidate, survey and further advance the subject. This volume is an outgrowth of that workshop. It consists of a number of reviews and a selection of more traditional research articles. The result is an accessible summary of a wide range of active research topics written by leaders in their field, together with some excitingnew results. The book serves as both a helpful overview for graduate studentsnew to the area and a useful resource for more established researchers. INDICE: Preface; List of contributors; 1. Shear flows and their attractors M. Boukrouche and G. Lukaszewicz; 2. Mathematical results concerning unsteady flows of chemically reacting incompressible fluids M. Buli ek, J. Malek and K. R. Rajagopal; 3. The uniqueness of Lagrangian trajectories in Navier-Stokesflows M. Dashti and J. C. Robinson; 4. Some controllability results in fluid mechanics E. Fernandez-Cara; 5. Singularity formation and separation phenomenain boundary layer theory F. Gargano, M. C. Lombardo, M. Sammartino and V. Sciacca; 6. Partial regularity results for solutions of the Navier-Stokes system I. Kukavica; 7. Anisotropic Navier-Stokes equations in a bounded cylindrical domain M. Paicu and G. Raugel; 8. The regularity problem for the three-dimensional Navier-Stokes equations J. C. Robinson and W. Sadowski; 9. Contour dynamics for the surface quasi-geostrophic equation J. L. Rodrigo; 10. Theory and applications of statistical solutions of the Navier-Stokes equations R. M. Rosa.

• ISBN: 978-0-521-12512-3
• Editorial: Cambridge University
• Encuadernacion: Rústica
• Páginas: 257
• Fecha Publicación: 30/09/2009
• Nº Volúmenes: 1
• Idioma: Inglés